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Finding the Third Proportional to 16,180.38 and 34,684.45

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Solution

The third proportional to 16,180.38 and 34,684.45 is: 74,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.38 : 34,684.45 = 34,684.45 : x
  2. Step 2: Convert to fraction form
    16,180.38/34,684.45 = 34,684.45/x
  3. Step 3: Cross multiply
    16,180.38x = 34,684.45 × 34,684.45
  4. Step 4: Simplify right side
    16,180.38x = 1,203,011,288.58
  5. Step 5: Solve for x
    x = 1,203,011,288.58/16,180.38
  6. Step 6: Final answer
    x = 74,349.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.